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JOURNALS // Daghestan Electronic Mathematical Reports // Archive

Daghestan Electronic Mathematical Reports, 2014 Issue 2, Pages 38–44 (Mi demr9)

Estimate of polynomial approximations of bounded functions with weight

A.-R. K. Ramazanov

Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala

Abstract: The open problem about the structural characteristic of bounded functions is solved for estimate of their best polynomial approximations in the metric of bounded sign-sensitive weight.

Keywords: sign-sensitive weight, polynomial approximations, bounded functions.

UDC: 517.51

Received: 18.11.2014
Revised: 24.12.2014
Accepted: 25.12.2014

DOI: 10.31029/demr.2.3



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